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Finding the Third Proportional to 392,095.69 and 580,856.06

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Solution

The third proportional to 392,095.69 and 580,856.06 is: 860,488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,095.69 : 580,856.06 = 580,856.06 : x
  2. Step 2: Convert to fraction form
    392,095.69/580,856.06 = 580,856.06/x
  3. Step 3: Cross multiply
    392,095.69x = 580,856.06 × 580,856.06
  4. Step 4: Simplify right side
    392,095.69x = 337,393,765,343.00
  5. Step 5: Solve for x
    x = 337,393,765,343.00/392,095.69
  6. Step 6: Final answer
    x = 860,488.34

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.